formula of area of a pentagon
Answers
No such particular formula, but you can thought of it to be made up of 5 triangles. And, if this is a regular pentagon, then all the triangles will have same area. So, if it is a regular pentagon, then its area will be 5 times the area of a triangle.
This can be applied in any polygon. For instance, if its a hexagon, it'll will be made up of 6 triangles.
Answer:
Area of a Pentagon Formula
A Pentagon is a five-sided polygon in geometry. It may be simple or self – intersecting in shape. The five angles present in the Pentagon are equal. A regular pentagon has all of the sides and angles are the same as each other. Pentagons can be regular or irregular and convex or concave. A regular pentagon is one with all equal sides and angles. Its interior angles are 108 degrees and its exterior angles are 72 degrees. An irregular pentagon is a shape that does not have equal sides and/or angles and therefore does not have specified angles. A convex pentagon is one whose vertices, or points, where the sides meet, is pointing outwards as opposed to a concave pentagon whose vertices point inwards. Imagine a collapsed roof of a house. Now, the Pentagon area is derived by multiplying side and apothem length with (5/2). To learn more about the area of a pentagon along with the details of apothem and other related details, check the linked article.
Area of a Pentagon Formula
Area Formula for a Pentagon
The Area of a Pentagon Formula is,
A = (5 ⁄ 2) × s × a
Where,
“s” is the side of the Pentagon and
“a” is the apothem length.
Example Questions Using Pentagon Area Formula
Question 1: Find the area of a pentagon of side 10 cm and apothem length 5 cm ? Solution: Given, s = 10 cm a = 5 cm Area of a pentagon = A = (5 ⁄ 2) × s × a = A = (5 ⁄ 2) × 10 × 5 cm2 = 125 cm2
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